2.
Find the sum of the interior angles of a nonagon. (1 point)
140°
1,620°
1,260°
1,450°
4.
Find the measure of each interior angle of a polygon with 12 sides. (1 point)
1,800°
150°
180°
145°
5.
Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. (1 point)
115°
95°
135°
85°
My answers:
2. 1,260°
4. 150°
5. 115°
Connexus answers
1. B
2. C
3. A
4. B
5. A
6. C
7. D
8. C
9. B
10. D
11. C
12. You have to do that one yourself it’s a writen answer.
could someone at least help me out with #12 cause i have absolutely no idea
Allison is 100 percent right thx
Thank you Allison
Nice job Allison! Those answers are 100%
Those answer are all correct, good job.
To find the sum of the interior angles of a nonagon, you can use the formula: (n-2) * 180, where n represents the number of sides of the polygon.
For question 2:
The nonagon has 9 sides, so we substitute n = 9 into the formula:
(9-2) * 180 = 7 * 180 = 1260°
Therefore, the sum of the interior angles of a nonagon is 1260°. So, your answer of 1260° is correct.
For question 4:
To find the measure of each interior angle of a polygon with 12 sides, we can again use the formula: (n-2) * 180, where n is the number of sides.
For a polygon with 12 sides:
(12-2) * 180 = 10 * 180 = 1800°
So, each interior angle in a 12-sided polygon measures 1800° divided by the number of sides, which is 150° in this case. Thus, your answer of 150° is correct.
For question 5:
In a polygon where all the angles are given except for one, you can find the missing angle by subtracting the sum of the known angles from the total sum of the interior angles, which is (n-2) * 180, where n is the number of sides.
In a pentagon, the number of sides is 5. So, the total sum of the interior angles is:
(5-2) * 180 = 3 * 180 = 540°
Given angles: 85° + 110° + 135° + 95° = 425°
Missing angle: 540° - 425° = 115°
Therefore, your answer of 115° is correct.
2.
Find the sum of the interior angles of a nonagon. (1 point)
140°
1,620°
1,260°
1,450°
When you walk all the way around a figure with straight sides clockwise you turn 360 degrees. Ech of your right turns is 180 - interior angle there
in this case 9 * right turn angle = 360
right turn angle = 40
so each interior angle is 180 - 40 = 140
9* 140 = 1260
4.
Same deal for the next one
360/ 12 = 30
180 - 30 = 150 = interior angle
5.
each exterior angle = 180 - angle
180 - 85 = 95
180 - 110 = 70
180 - 135 = 45
180 - 45 = 85
then we have (180-x)
95+70+45+85 +180 - x = 360
475 - x = 360
x = 115